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Finding the Fourth Proportional to 796.32, 1,098.12 and 547.66

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Solution

The fourth proportional to 796.32, 1,098.12 and 547.66 is: 755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,098.12 = 547.66 : x
  2. Step 2: Convert to fraction form
    796.32/1,098.12 = 547.66/x
  3. Step 3: Cross multiply
    796.32x = 1,098.12 × 547.66
  4. Step 4: Simplify right side
    796.32x = 601,396.40
  5. Step 5: Solve for x
    x = 601,396.40/796.32
  6. Step 6: Final answer
    x = 755.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.